Keywords
- Vector Bundle
- Invariant Manifold
- Unstable Manifold
- Stable Manifold
- Topological Manifold
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H. Fenischel, Persistence and smoothness of invariant manifolds of flows, Indiana Univ. Math. J. 21(1971–72), 193–226.
M.J. Foster, Calculus on vector bundles, J. London Math. Soc. 11 (1975), 65–73.
M.J. Foster, Fibre derivatives and stable manifolds: a note, Bull. London Math. Soc. 8(1976), 286–288.
V. Guillemin, and A. Pollack, Differential Topology, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974.
P. Hartman, Ordinary Differential Equations, John Wiley and Sons, N.Y., 1964.
M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. Symp. Pure Math., Vol. 14, A.M.S., Providence, R.I., 1970, 133–164.
M. Hirsch, C. Pugh and M. Shub, Invariant Manifolds, preprint.
M.C. Irwin, On the smoothness of the composition map, Quart. J. Math. Oxford 23(1972), 113–133.
J.L. Kelley, General Topology, D. Van Nostrand Co., Inc., Princeton, 1955.
R. Sacker, A perturbation theorem for invariant Riemannian manifolds, Proc. Symp. Univ. Puerto Rico, Academic Press, 1967, 43–54.
R. Sacker and G. Sell, Lifting properties in skew-product flows with applications to differential equations, Memoirs of A.M.S., #109.
G. Sell, Linear Differential Systems, Lecture Notes, Univ. of Minnesota, 1974.
G. Sell, The structure of a flow in the vicinity of an almost periodic solution, preprint.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this chapter
Cite this chapter
Johnson, R.A. (1978). On a theorem of sell. In: Markley, N.G., Martin, J.C., Perrizo, W. (eds) The Structure of Attractors in Dynamical Systems. Lecture Notes in Mathematics, vol 668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101789
Download citation
DOI: https://doi.org/10.1007/BFb0101789
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08925-4
Online ISBN: 978-3-540-35751-3
eBook Packages: Springer Book Archive
